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Finding the Fourth Proportional to 3,681.73, 5,494.15 and 3,287.50

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Solution

The fourth proportional to 3,681.73, 5,494.15 and 3,287.50 is: 4,905.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.73 : 5,494.15 = 3,287.50 : x
  2. Step 2: Convert to fraction form
    3,681.73/5,494.15 = 3,287.50/x
  3. Step 3: Cross multiply
    3,681.73x = 5,494.15 × 3,287.50
  4. Step 4: Simplify right side
    3,681.73x = 18,062,018.13
  5. Step 5: Solve for x
    x = 18,062,018.13/3,681.73
  6. Step 6: Final answer
    x = 4,905.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.